Presentation Title

Block Designs

Presenter Information

Lucien Poulin
Daniela Genova

Faculty Sponsor

Dr. Daniela Genova

Faculty Sponsor College

College of Arts and Sciences

Faculty Sponsor Department

Mathematics & Statistics

Location

SOARS Virtual Conference

Presentation Website

https://unfsoars.domains.unf.edu/block-designs/

Keywords

SOARS (Conference) (2020 : University of North Florida) -- Posters; University of North Florida. Office of Undergraduate Research; University of North Florida. Graduate School; College students – Research -- Florida – Jacksonville -- Posters; University of North Florida – Undergraduates -- Research -- Posters; University of North Florida. Department of Mathematics and Statistics -- Research -- Posters; Engineering, Math, and Computer Sciences -- Research – Posters

Abstract

Block designs are a type of combinatorial structures that can be used to model many different types of problems ranging from experimental design to computer software testing. They can be used to construct schemes that ensure complete optimization and efficiency of the given experiment. We focus mainly on Steiner and Kirkman triple systems, as well as, on different ways for constructing block designs. Well known results in combinatorics such as Fisher’s inequality and Kirkman’s schoolgirl problem are also discussed.

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Apr 8th, 12:00 AM Apr 8th, 12:00 AM

Block Designs

SOARS Virtual Conference

Block designs are a type of combinatorial structures that can be used to model many different types of problems ranging from experimental design to computer software testing. They can be used to construct schemes that ensure complete optimization and efficiency of the given experiment. We focus mainly on Steiner and Kirkman triple systems, as well as, on different ways for constructing block designs. Well known results in combinatorics such as Fisher’s inequality and Kirkman’s schoolgirl problem are also discussed.

https://digitalcommons.unf.edu/soars/2020/spring_2020/85